LCM of 635, 504, 455, 442, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 504, 455, 442, 510 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 635, 504, 455, 442, 510. So, keep reading to learn more.
Given numbers are 635,504,455,442,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,504,455,442,510 is 70728840.
Find LCM of 635,504,455,442,510 with Prime Factorization
| 2 | 635, 504, 455, 442, 510 |
| 3 | 635, 252, 455, 221, 255 |
| 5 | 635, 84, 455, 221, 85 |
| 7 | 127, 84, 91, 221, 17 |
| 13 | 127, 12, 13, 221, 17 |
| 17 | 127, 12, 1, 17, 17 |
| 127, 12, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 17 x 127 x 12 x 1 x 1 x 1 = 70728840
Therefore, the lowest common multiple of 635,504,455,442,510 is 70728840.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
635 x 504 x 455 x 442 x 510 = 32825254644000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
635 : 1, 5, 127, 635
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
455 : 1, 5, 7, 13, 35, 65, 91, 455
442 : 1, 2, 13, 17, 26, 34, 221, 442
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,504,455,442,510, is 1.
Now, the common factors can be found like this.
635:5x 127
504:2x 2x 2x 3x 3x 7
455:5x 7x 13
442:2x 13x 17
510:2x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 5x 7x 13x 17 = 464100
Therefore, the value for common factors is 464100.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 32825254644000/(1x464100)
LCM = 32825254644000/464100
LCM = 70728840
Thus, we can understand that the LCM of 635,504,455,442,510 is 70728840.
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FAQs on LCM of 635, 504, 455, 442, 510
1. What is the LCM of 635, 504, 455, 442, 510?
Answer: LCM of 635, 504, 455, 442, 510 is 70728840.
2. How to calculate the LCM of 635, 504, 455, 442, 510?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 635, 504, 455, 442, 510.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.